1. A sample of wet soil has a volume of 0.0192 m3 and a mass of 32 kg. When the sample soil dried out in an oven, its mass reduces to 28.5 kg. determine i) Bulk densityii) Water contentiii) Dry densityiv) Saturated densityv) Void ratiovi) Porosityvii) Degree of saturation Take the specific gravity of solids 2.65.2. Prove that the degree of saturation of a partially saturated soil can be expressed as 3. A fully saturated clay sample has a mass of 130 gm ad has a volume of 64 cm3. The sample mass is 105 gm after oven drying. Assuming that the volume does not change during drying, determine the following:i) Specific gravity of soil solidsii) Porosityiii) Void ratioiv) Dry density4. A sample of soil has a volume of 1 liter and a weight of 17.5 N. the specific gravity of the solids is 2.68. If the dry unit weight of the soil is 14.8 KN/m3.determine a) water content b) void ratio c) porosity d) saturated unit weight e) submerged density and f) degree of saturation. 5. A saturated soil sample encountered in a deep excavation is found to have a water content of 23%.Determine its porosity and bulk unit weight. Take G=2.7.6. A sandy soil has a natural water content of 27.5% and bulk unit weight of 19.5 KN/m3. The void ratios corresponding to the densest and loosest state are 0.51 and 0.87.find the relative density and degree of saturation for this soil. Take G=2.7.7. A soil sample has a bulk unit weight of 19.6 KN/m3 at the water content of 10%.Determine the void ratio, percentage air voids and degree of saturation of this sample. Take G=2.7. 8. The laboratory test results of a sand are e max 0.91, e min 0.48, and G s 2.67.What would be the dry and moist unit weights of this sand when compacted at a moisture content of 10% to a relative density of 65%? 9. A moist soil has a void ratio of 0.65. The moisture content of the soil is 14% and G s=2.7.Determine i. porosity ii. Degree of saturation. iii. Dry unit weight.10. An undisturbed specimen of clay was tested in laboratory and the following result were obtained Wet mass=210 gm Oven dry mass=175 gm Specific gravity of solids =2.7 What was the total volume of the original undisturbed specimen assuming the specimen was 50% saturated.11. A soil deposit to be used for construction of an earth embankment has an average dry density of 1.62 gm/ml. if the compacted embankment is to have an average dry density of 1.72 gm/ml, determine the volume of soil to be excavated for 1000 m3embankment.the water content of the soil in the borrow pit is 10%. 12. Prove that water content (w) of the partially saturated soil can be expressed as

13. A sample of clay having a mass of 675 gm was coated with paraffin wax. The combined mass of the clay and the wax was found to be 682 gm. The volume was found by immersion in water as 345 ml. the sample was then broken open and the water content and the specific gravity of solids were found to be 15% and 2.7 respectively. Calculate the bulk density of soil, its void ratio and degree of saturation. Take specific gravity of wax as 0.89.

14. Show that

Chapter 3.